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Author Viana, Marcelo, author
Title Foundations of ergodic theory / Marcelo Viana, IMPA, Rio de Janeiro, Krerley Oliveira, Universidade Federal de Alagoas, Brazil
Imprint Cambridge : Cambridge University Press, 2016
book jacket
Descript 1 online resource (xvi, 530 pages) : digital, PDF file(s)
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
text file PDF rda
Series Cambridge studies in advanced mathematics ; 151
Cambridge studies in advanced mathematics ; 151
Note Title from publisher's bibliographic system (viewed on 05 Feb 2016)
Rich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. The authors' clear and fluent exposition helps the reader to grasp quickly the most important ideas of the theory, and their use of concrete examples illustrates these ideas and puts the results into perspective. The book requires few prerequisites, with background material supplied in the appendix. The first four chapters cover elementary material suitable for undergraduate students – invariance, recurrence and ergodicity – as well as some of the main examples. The authors then gradually build up to more sophisticated topics, including correlations, equivalent systems, entropy, the variational principle and thermodynamical formalism. The 400 exercises increase in difficulty through the text and test the reader's understanding of the whole theory. Hints and solutions are provided at the end of the book
Subject Ergodic theory -- Textbooks
Topology -- Textbooks
Alt Author Oliveira, Krerley, author
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